110. (a) –x² + 2x < 0 (b) –x² + 2x> 0

Q: Find the limits

A: We will find the limit by substitution

Q: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: -8s2-5s+9 Find L- (s+1)(s² – 3s+2)

A:

Q: 4. The domain of the radical function x→ V2x² – 5 is [Hint: x→Vx is true when x20 and x| = Va = x =…

A:

Q: -2х - 4х +4 а. lim х3 — 27 х— 2 b. lim 9x² +1

A: Compute the given limits.

Q: im ³√2x²-10 x-->3

A: Given : limx--&gt;32x23-10 To find out limit we plug in 3 for x directly inside the cube root

Q: Var(X)=3, what is Var(2X + 1)?

A:

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: - e4 7. lim. x-2x² - 2x ex2

A: We have to find out limit

Q: .22メ-3 when x=-3 G-メフナス

A:

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

A:

Q: lim, (27x - 8)(3x² – 2x)-1 ズ→ O 18 0. -9 9 /3

A:

Q: find lim (2 x3 - 3 x + 5) X --> -1 O 6 O none of these answers O 4

A:

Q: 2 So Adx 4-x

A: We can find the answer as below.

Q: 2 --6 2. lim r-2 x2-2

A:

Q: hat 6.x 7x - r+ 2 = (x - 1)(ax + bx + c) -

A: 14)  Given equation is 6x3-7x2-x+2=x-1ax2+bx+c Evaluate this…

Q: ■ Find the limit.

A: Given limt→∞t+t22t-t2

Q: lim x---q -8x2 + 1/x2 + 1

A: To find the limit  limx→q-8x2+1x2+1

Q: lue of lim X→-4 2x+8 x²+2x-8* Remember to fully justify your.

A:

Q: limits

A: Given,

Q: 17. 5. If f(x) = 3x² – 7x + 12, find Simplify! h f()=

A:

Q: -4x* +2х — 7 3 lim 8x* +5х - 3 |

A: Given. f(x) = (-4x³+2x-7)/(8x³+5x-3) Puting x = infinity we get Y = infinity/infinity which is…

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

A:

Q: 4 lim x→3+ \ x²+3x-18 7x2-11х-30.

A:

Q: What is the end behavior for this fucntion... X^3-4x^2+7

A:

Q: tion 20 +4)/2 = > aj,æ“ for || then 16a3 2 k-0

A: We have to find the value of the given condition

Q: 16) If x = 5y-3 and y = -2a3, express x in terms of a.

A:

Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

A:

Q: |2x+4| lim x->-2+ √x+2

A:

Q: х -4х — 21 lim -3 2r' - 4x? – 30x

A:

Q: f(x) = e 6x +7 In (7x- 9)

A:

Q: 'Зx2 + 8х + 4) lim п--2 х2 + 3x + 2

A: Given query is to find the value of expression at indicated limit.

Q: lim (9x* — 2а* + 7a — 5)

A:

Q: x2 + 5x + 6 14) lim X--00 X х3.7x2 + 17

A:

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: what do you get when you expand x+4/xy^2?

A: We can make it easier for you

Q: Prove that x -2x+2>0 for value of x.

A:

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: Where is /(x) = 4(x=2)^ + 2(x-2) increasing?

A: We first find f'(x) using the power…

Q: )-() lim 2z- 1422–1|

A: We have to solve

Q: Show that for r=1x1 XER³, > A( 7 ) = 0 we have when 1x1=1 #0

A: Laplacian operator

Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: By applying product rule to find y' 3 (1+x*) x4 - x*

A:

Q: 4r-r lim 4 2-

A: We have to find limit

Q: What is the domain of:f(x) = square root x − 2/x + 4

A:

Q: 2 lim + 8 00 - x x + 5x + 7 * 2.

A:

Q: 22 - r - 2 4. lim 40 r – 6r² – 7r+1

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.